#include <iostream>
using namespace std;

// To heapify a subtree rooted with node i which is
// an index in arr[]. n is size of heap
void heapify(int arr[], int n, int i)
{
	int largest = i;  // Initialize largest as root
	int l = 2*i + 1;  // left = 2*i + 1
	int r = 2*i + 2;  // right = 2*i + 2

	// If left child is larger than root
	if (l < n && arr[l] > arr[largest])
		largest = l;

	// If right child is larger than largest so far
	if (r < n && arr[r] > arr[largest])
		largest = r;

	// If largest is not root
	if (largest != i)
	{
		swap(arr[i], arr[largest]);

		// Recursively heapify the affected sub-tree
		heapify(arr, n, largest);
	}
}

// main function to do heap sort
void heapSort(int arr[], int n)
{
	// Build heap (rearrange array)
	for (int i = n / 2 - 1; i >= 0; i--)
		heapify(arr, n, i);

	// One by one extract an element from heap
	for (int i=n-1; i>=0; i--)
	{
		// Move current root to end
		swap(arr[0], arr[i]);

		// call max heapify on the reduced heap
		heapify(arr, i, 0);
	}
}

/* A utility function to print array of size n */
void printArray(int arr[], int n)
{
	for (int i=0; i<n; ++i)
		cout << arr[i] << " ";
	cout << "\n";
}

// Test program
int main()
{
	int arr[] = {12, 11, 13, 5, 6, 7};
	int n = sizeof(arr)/sizeof(arr[0]);

	heapSort(arr, n);

	cout << "Sorted array is \n";
	printArray(arr, n);
}
